On the linearity of HNN-extensions with abelian base group
We show that an HNN-extension with finitely generated abelian base group is Z-linear if and only if it is residually finite.
math.GR↗
arXiv subjects
Publications and source records attributed to E. Raptis.
We show that an HNN-extension with finitely generated abelian base group is Z-linear if and only if it is residually finite.
We give necessary and sufficient conditions on the graph of a right-angled Artin group that determine whether the group is subgroup separable or not. Moreover, we investigate the profinite topology of the direct product of two free groups. We show that the profinite topology of the above group is strongly connected with the profinite topology of the free group of rank two.